856872048 has 160 divisors (see below), whose sum is σ = 2388418560. Its totient is φ = 264176640.

The previous prime is 856872043. The next prime is 856872059. The reversal of 856872048 is 840278658.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 856871988 and 856872006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856872043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6540943 + ... + 6541073.

It is an arithmetic number, because the mean of its divisors is an integer number (14927616).

Almost surely, 2^856872048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856872048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194209280).

856872048 is an abundant number, since it is smaller than the sum of its proper divisors (1531546512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

856872048 is a wasteful number, since it uses less digits than its factorization.

856872048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 856872048 is about 29272.3768765025. The cubic root of 856872048 is about 949.8142011527.

The spelling of 856872048 in words is "eight hundred fifty-six million, eight hundred seventy-two thousand, forty-eight".